Cot^2(5x+8)-7cot(5x+8)-12=0

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Solution for Cot^2(5x+8)-7cot(5x+8)-12=0 equation: 


Simplifying
Cot2(5x + 8) + -7cot(5x + 8) + -12 = 0

Reorder the terms:
ot2C(8 + 5x) + -7cot(5x + 8) + -12 = 0
(8 * ot2C + 5x * ot2C) + -7cot(5x + 8) + -12 = 0
(8ot2C + 5ot2xC) + -7cot(5x + 8) + -12 = 0

Reorder the terms:
8ot2C + 5ot2xC + -7cot(8 + 5x) + -12 = 0
8ot2C + 5ot2xC + (8 * -7cot + 5x * -7cot) + -12 = 0
8ot2C + 5ot2xC + (-56cot + -35cotx) + -12 = 0

Reorder the terms:
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0

Solving
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + -56cot + -35cotx + 8ot2C + 12 + 5ot2xC = 0 + 12

Reorder the terms:
-12 + 12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0 + 12
-56cot + -35cotx + 8ot2C + 5ot2xC = 0 + 12

Combine like terms: 0 + 12 = 12
-56cot + -35cotx + 8ot2C + 5ot2xC = 12

Add '-8ot2C' to each side of the equation.
-56cot + -35cotx + 8ot2C + -8ot2C + 5ot2xC = 12 + -8ot2C

Combine like terms: 8ot2C + -8ot2C = 0
-56cot + -35cotx + 0 + 5ot2xC = 12 + -8ot2C
-56cot + -35cotx + 5ot2xC = 12 + -8ot2C

Add '-5ot2xC' to each side of the equation.
-56cot + -35cotx + 5ot2xC + -5ot2xC = 12 + -8ot2C + -5ot2xC

Combine like terms: 5ot2xC + -5ot2xC = 0
-56cot + -35cotx + 0 = 12 + -8ot2C + -5ot2xC
-56cot + -35cotx = 12 + -8ot2C + -5ot2xC

Reorder the terms:
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 12 + -8ot2C + -5ot2xC + -12 + 8ot2C + 5ot2xC

Reorder the terms:
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 12 + -12 + -8ot2C + 8ot2C + -5ot2xC + 5ot2xC

Combine like terms: 12 + -12 = 0
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0 + -8ot2C + 8ot2C + -5ot2xC + 5ot2xC
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = -8ot2C + 8ot2C + -5ot2xC + 5ot2xC

Combine like terms: -8ot2C + 8ot2C = 0
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0 + -5ot2xC + 5ot2xC
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = -5ot2xC + 5ot2xC

Combine like terms: -5ot2xC + 5ot2xC = 0
-12 + -56cot + -35cotx + 8ot2C + 5ot2xC = 0

The solution to this equation could not be determined.

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